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00000cam a2200000Mu 4500 |
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ocn476223607 |
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OCoLC |
| 005 |
20240909213021.0 |
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m o d |
| 007 |
cr mn|---||||| |
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091207s1967 vtu o 000 0 eng d |
| 040 |
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|a EBLCP
|b eng
|e pn
|c EBLCP
|d OCLCQ
|d MHW
|d OCLCQ
|d MERUC
|d AU@
|d OCLCQ
|d K6U
|d OCLCF
|d OCLCO
|d OCLCQ
|d OCLCO
|d SXB
|d OCLCQ
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| 020 |
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|a 9780080873374
|q (electronic bk.)
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| 020 |
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|a 0080873375
|q (electronic bk.)
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| 035 |
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|a (OCoLC)476223607
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| 050 |
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4 |
|a QA321 .T74 2006
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| 049 |
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|a HCDD
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| 100 |
1 |
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|a Treves, Francois.
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| 245 |
1 |
0 |
|a Topological Vector Spaces, Distributions and Kernels.
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| 250 |
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|a 2nd ed.
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| 260 |
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|a Burlington :
|b Elsevier,
|c 1967.
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| 300 |
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|a 1 online resource (583 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 520 |
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|a Topological vector spaces, distributions and kernels.
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| 588 |
0 |
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|a Print version record.
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0 |
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|a Front Cover -- Topological Vector Spaces, Distributions and Kernels -- Copyright Page -- Contents -- Preface -- Part I: Topological Vector Spaces. Spaces of Functions -- Chapter 1. Filters. Topological Spaces. Continuous Mappings -- Chapter 2. Vector Spaces. Linear Mappings -- Chapter 3. Topological Vector Spaces. Definition -- Chapter 4. Hausdorff Topological Vector Spaces. Quotient Topological Vector Spaces. Continuous Linear Mappings -- Hausdorff Topological Vector Spaces -- Quotient Topological Vector Spaces -- Continuous Linear Mappings.
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| 505 |
8 |
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|a Chapter 5. Cauchy Filters. Complete Subsets. Completion -- Chapter 6. Compact Sets -- Chapter 7. Locally Convex Spaces. Seminorms -- Chapter 8. Metrizable Topological Vector Spaces -- Chapter 9. Finite Dimensional Hausdorff Topological Vector Spaces. Linear Subspaces with Finite Codimension. Hyperplanes -- Chapter 10. Fréchet Spaces. Examples -- Example I. The Space of ℓk Functions in an Open Subset of Rn -- Example II. The Space of Holomorphic Functions in an Open Subset of Cn -- Example III. The Space of Formal Power Series in n Indeterminates.
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| 505 |
8 |
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|a Example IV. The Space e of e Functions in Rn Rapidly Decreasing at Infinity -- Chapter 11. Normable Spaces. Banach Spaces. Examples. -- Chapter 12. Hilbert Spaces -- Chapter 13. Spaces LF. Examples -- Chapter 14. Bounded Sets -- Chapter 15. Approximation Procedures in Spaces of Functions -- Chapter 16. Partitions of Unity -- Chapter 17. The Open Mapping Theorem -- Part II: Duality. Spaces of Distributions -- Chapter 18. The Hahn-Banach Theorem -- (1) Problems of Approximation -- (2) Problems of Existence -- (3) Problems of Separation -- Chapter 19. Topologies on the Dual.
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| 505 |
8 |
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|a Chapter 20. Examples of Duals among Lp Spaces -- Example I. The Duals of the Spaces of Sequences lp(1 {600} p <+) -- Example II. The Duals of the Spaces Lp() (1 {600} p <+) -- Chapter 21. Radon Measures. Distributions -- Radon Measures in an Open Subset of Rn -- Distributions in an Open Subset of Rn -- Chapter 22. More Duals: Polynomials and Formal Power Series. Analytic Functionals -- Polynomials and Formal Power Series -- Analytic Functionals in an Open Subset of Cn -- Chapter 23. Transpose of a Continuous Linear Map -- Example I. Injections of Duals.
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| 505 |
8 |
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|a Example II. Restrictions and Extensions -- Example III. Differential Operators -- Chapter 24. Support and Structure of a Distribution -- Distributions with Support at the Origin -- Chapter 25. Example of Transpose: Fourier Transformation of Tempered Distributions -- Chapter 26. Convolution of Functions -- Chapter 27. Example of Transpose: Convolution of Distributions -- Chapter 28. Approximation of Distributions by Cutting and Regularizing -- Chapter 29. Fourier Transforms of Distributions with Compact Support The Paley-Wiener Theorem.
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| 650 |
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0 |
|a Functional analysis.
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| 650 |
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0 |
|a Linear topological spaces.
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| 650 |
|
7 |
|a Functional analysis
|2 fast
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| 650 |
|
7 |
|a Linear topological spaces
|2 fast
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| 776 |
1 |
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|z 9780126994506
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| 856 |
4 |
0 |
|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=405598
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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